• Title/Summary/Keyword: Non-linear Vibration

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Chaotic Behaviour of Vibration signal for Rolling Mill Bearing Diagnistics (압연기 베어링진단을 위한 진동 신호의 카오스적 거동)

  • 배영철;김이곤;최남섭;김경민;정양희;최홍준;김서영;유권종
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.4
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    • pp.759-765
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    • 2000
  • A diagnosis system that provides early warnings regarding machine malfunction is very important for rolling mill so as to avoid great losses resulting from unexpected shutdown of the production line. But it is very difficult to provide early warnings in rolling mill. Because dynamics of rolling mill is non-linear. This paper shows a chaotic behavior of vibration signal in rolling mill using embedding method. Not only phase plane and Poincare map are implemented but also FH and histogram of vibration signal in rolling mill is presented by embedding method.

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Natural Frequency Analysis of an Extensible Curved Pipe Conveying Fluid (유체가 흐르는 인장 가능한 곡선관의 고유진동수 해석)

  • Jung, Du-Han;Chung, Jin-Tai
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.792-795
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    • 2005
  • The vibration of a curved pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bemoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived. To investigate the dynamic characteristics of the system the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed. From these results, we should consider the nonlinearity to analyze dynamics of a curved pipe conveying fluid more precisely.

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Dynamic Simulation for High-speed Pantograph and Overhead-line using a Vibration Mode Superposition Method (모드중첩법을 이용한 고속용 팬터그래프와 전차선의 동적 상호작용 시뮬레이션)

  • Cho, Yong-Hyeon;Lee, Ki-Won;Park, Hyun-Jun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.494-497
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    • 2004
  • A dynamic simulation for a high-speed pantograph-overheadline has been performed using mode superposition method to predict contact forces between pantograph and overheadline. We can deal with non-linear dampers of the pantograph and pre-sag of overhead-line for the simulation. But, we can not consider slackness of dropper in the overhead-line. According to the simulation results, the contact forces and displacements are reasonably predicted, compared with other foreign simulation results.

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Parametric analysis of the properties of a passenger car for the improved ride quality (승차감 개선을 위한 승용차 현가계 특성치의 파라메타 해석)

  • 임성수;이장무;민현기;이재형
    • Journal of the korean Society of Automotive Engineers
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    • v.15 no.1
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    • pp.73-80
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    • 1993
  • In this study, 3-dimensional linear and non-linear vehicle models are proposed to improve ride quality. The simulations of a vehicle passing over a bump were performed with those two vehicle models. The dynamic responses of the models were analyzed in time-domain and frequency-domain. Then, discomforts in each vibration axis and the combined-axes were evaluated based on the vibrations of the proposed models. The actual vehicle test results in time domain and frequency domain. Also, the discomfort values were compared. Then the validity of those two models were verified. Also, the design parameters of the suspension system are proposed for improving the ride quality.

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Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory

  • Bagdatli, Suleyman M.
    • Structural Engineering and Mechanics
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    • v.55 no.2
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    • pp.281-298
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    • 2015
  • In this study, nonlinear transverse vibrations of tensioned Euler-Bernoulli nanobeams are studied. The nonlinear equations of motion including stretching of the neutral axis and axial tension are derived using nonlocal beam theory. Forcing and damping effects are included in the equations. Equation of motion is made dimensionless via dimensionless parameters. A perturbation technique, the multiple scale methods is employed for solving the nonlinear problem. Approximate solutions are applied for the equations of motion. Natural frequencies of the nanobeams for the linear problem are found from the first equation of the perturbation series. From nonlinear term of the perturbation series appear as corrections to the linear problem. The effects of the various axial tension parameters and different nonlocal parameters as well as effects of different boundary conditions on the vibrations are determined. Nonlinear frequencies are estimated; amplitude-phase modulation figures are presented for simple-simple and clamped-clamped cases.

Study of Detent Force Minimization Techniques in Permanent Magnet Linear Synchronous Motor (영구자석 선형동기전동기의 디텐트력 최소화 기법 연구)

  • Lim, Ki-Chae;Woo, Joon-Keun;Hong, Jung-Pyo;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.763-765
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    • 2000
  • Detent force is produced in a permanent magnet linear machine. It is generally an undesired effect that contributes to the output ripple of machine, vibration and noise. This paper analyzes detent force in a Permanent Magnet Linear Synchronous Motor (PMLSM) by using various detent force minimization techniques. A two-dimensional Finite Element Method(FEM) is used to predict detent forces due to structural factors and non-linearity. And moving node technique for the drawing models is used to reduce modeling time and efforts.

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Design for Detent Force Reduction in Permanet Magnet Linear Synchronous Motors (영구자석 선형 동기전동기(PMLSM)의 디텐트력 저감을 위한 자기회로 설계)

  • Ha, Jae-Pyeong;Kim, Young-Gyun;Hong, Jung-Pyo;Kang, Gyu-Hong;Jo, Han-Ik;Ha, Kyeong-Ho
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.942-944
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    • 2003
  • Detent force produced in permanent linear machines generally causes an undesired effect that contributes to the output ripple of machine, vibration and noise. This paper analyzes detent force and thrust in Permanent Magnet Linear Synchronous Motor(PMLSM) by using various detent force minimization techniques. A two dimensional Finite Element Analysis(FEA) is used to Predict detent force and thrust due to structural factors and non-linearity.

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Forced Vibration and Loads Analysis of Large-scale Wind Turbine Blades Considering Blade Bending and Torsion Coupling (굽힘 및 비틀림 연성 효과를 고려한 대형 풍력 터빈 블레이드의 강제 진동 및 하중 해석)

  • Kim, Kyung-Taek;Park, Jong-Po;Lee, Chong-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.256-263
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    • 2008
  • The assumed modes method is developed to derive a set of linear differential equations describing the motion of a flexible wind turbine blade and to propose an approach to investigate the forced responses result from various wind excitations. In this work, we have adopted Euler beam theory and considered that the root of the blade is clamped at the rigid hub. And the aerodynamic parameters and forces are determined based on Blade Element Momentum (BEM) theory and quasi-steady airfoil aerodynamics. Numerical calculations show that this method gives good results and it can be used fur modeling and the forced vibration analysis including the coupling effect of wind-turbine blades, as well as turbo-machinery blades, aircraft propellers or helicopter rotor blades which may be considered as straight non-uniform beams with built-in pre-twist.

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Modeling for the Natural Vibration Analysis of a Rotating Thin Ring (회전하는 얇은 링의 고유진동 해석을 위한 모델링)

  • Kim, Chang-Boo;Kim, Sehee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.1 s.106
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    • pp.57-65
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    • 2006
  • In this paper, we present the principle of virtual work, from which the exact non-linear equations of motion of a rotating ring can be derived, by using the theory of finite deformation. For a thin ring of which the effect of variation in curvature across the cross-section is neglected, the radial displacement and the extensional stress are determined from the principle of virtual work at the steady state where the ring is rotating with a constant angular velocity. And also we formulate systematically the governing equations concerned to the in-plane vibrations and the out-of-plane vibrations at the disturbed state by using the principle of virtual work which is expressed with the disturbed displacements about the steady state. The formulated governing equations are classified by four models along the cases of considering or neglecting all or partly the secondary effects of flexural shear, rotary inertia, circumferential extension, and twist inertia. The natural vibrations of thin rings are analyzed, and its results are compared and discussed.

A New Vibration Energy Harvester Using Magnetoelectric Transducer

  • Yang, Jin;Wen, Yumei;Li, Ping;Dai, Xianzhi;Li, Ming
    • Journal of Magnetics
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    • v.16 no.2
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    • pp.150-156
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    • 2011
  • Magnetoelectric (ME) transducers were originally intended for magnetic field sensors but have recently been used in vibration energy harvesting. In this paper, a new broadband vibration energy harvester has been designed and fabricated to be efficiently applicable over a range of source frequencies, which consists of two cantilever beams, two magnetoelectric (ME) transducers and a magnetic circuit. The effects of the structure parameters, such as the non-linear magnetic forces of the ME transducers and the magnetic field distribution of the magnetic circuit, are analyzed for achieving the optimal vibration energy harvesting performances. A prototype is fabricated and tested, and the experimental results on the performances show that the harvester has bandwidths of 5.6 Hz, and a maximum power of 0.25 mW under an acceleration of 0.2 g (with g = $9.8\;ms^2$).